[994d77f] | 1 | double form_volume(double radius, double length); |
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[0d6e865] | 2 | double fq(double q, double sn, double cn,double radius, double length); |
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| 3 | double orient_avg_1D(double q, double radius, double length); |
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[994d77f] | 4 | double Iq(double q, double sld, double solvent_sld, double radius, double length); |
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| 5 | double Iqxy(double qx, double qy, double sld, double solvent_sld, |
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| 6 | double radius, double length, double theta, double phi); |
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[5d4777d] | 7 | |
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[03cac08] | 8 | #define INVALID(v) (v.radius<0 || v.length<0) |
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| 9 | |
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[994d77f] | 10 | double form_volume(double radius, double length) |
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[14de349] | 11 | { |
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| 12 | return M_PI*radius*radius*length; |
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| 13 | } |
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| 14 | |
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[0d6e865] | 15 | double fq(double q, double sn, double cn, double radius, double length) |
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[14de349] | 16 | { |
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[50e1e40] | 17 | // precompute qr and qh to save time in the loop |
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[994d77f] | 18 | const double qr = q*radius; |
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[0d6e865] | 19 | const double qh = q*0.5*length; |
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[73e08ae] | 20 | return sas_J1c(qr*sn) * sinc(qh*cn); |
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[0d6e865] | 21 | } |
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[50e1e40] | 22 | |
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[0d6e865] | 23 | double orient_avg_1D(double q, double radius, double length) |
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| 24 | { |
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[50e1e40] | 25 | // translate a point in [-1,1] to a point in [0, pi/2] |
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| 26 | const double zm = M_PI_4; |
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[0d6e865] | 27 | const double zb = M_PI_4; |
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[50e1e40] | 28 | |
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[994d77f] | 29 | double total = 0.0; |
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[14de349] | 30 | for (int i=0; i<76 ;i++) { |
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[50e1e40] | 31 | const double alpha = Gauss76Z[i]*zm + zb; |
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[0d6e865] | 32 | double sn, cn; // slots to hold sincos function output |
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| 33 | // alpha(theta,phi) the projection of the cylinder on the detector plane |
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[5d4777d] | 34 | SINCOS(alpha, sn, cn); |
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[b829b16] | 35 | total += Gauss76Wt[i] * square( fq(q, sn, cn, radius, length) ) * sn; |
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[14de349] | 36 | } |
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[ff7119b] | 37 | // translate dx in [-1,1] to dx in [lower,upper] |
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[0d6e865] | 38 | return total*zm; |
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| 39 | } |
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| 40 | |
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| 41 | double Iq(double q, |
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| 42 | double sld, |
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| 43 | double solvent_sld, |
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| 44 | double radius, |
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| 45 | double length) |
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| 46 | { |
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[50e1e40] | 47 | const double s = (sld - solvent_sld) * form_volume(radius, length); |
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[0d6e865] | 48 | return 1.0e-4 * s * s * orient_avg_1D(q, radius, length); |
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[14de349] | 49 | } |
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| 50 | |
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| 51 | |
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[994d77f] | 52 | double Iqxy(double qx, double qy, |
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| 53 | double sld, |
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| 54 | double solvent_sld, |
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| 55 | double radius, |
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| 56 | double length, |
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| 57 | double theta, |
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| 58 | double phi) |
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[14de349] | 59 | { |
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[11ca2ab] | 60 | double q, sin_alpha, cos_alpha; |
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| 61 | ORIENT_SYMMETRIC(qx, qy, theta, phi, q, sin_alpha, cos_alpha); |
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[73e08ae] | 62 | //printf("sn: %g cn: %g\n", sin_alpha, cos_alpha); |
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[50e1e40] | 63 | const double s = (sld-solvent_sld) * form_volume(radius, length); |
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[73e08ae] | 64 | const double form = fq(q, sin_alpha, cos_alpha, radius, length); |
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| 65 | return 1.0e-4 * square(s * form); |
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[14de349] | 66 | } |
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